a water tank decreases by 10 gallons every 3 hours every day. what is the total change in the amount of water in the tank after 6 days? (1 point)
responses
480 gallons
80 gallons
−480 gallons
−80 gallons
To find the total change in the amount of water in the tank after 6 days, we need to calculate the change per day and then multiply it by the number of days.
Since the tank decreases by 10 gallons every 3 hours, that means it decreases by 10/3 gallons per hour.
There are 24 hours in a day, so the tank decreases by 10/3 * 24 = 80 gallons per day.
After 6 days, the total change in the amount of water in the tank is 80 * 6 = 480 gallons.
Therefore, the correct answer is 480 gallons.
To find the total change in the amount of water in the tank after 6 days, we need to calculate the change in gallons per day and then multiply it by the number of days.
Given that the water tank decreases by 10 gallons every 3 hours, we can calculate the amount by which it decreases per hour:
10 gallons / 3 hours = 3.33 gallons/hour
Since there are 24 hours in a day, we can calculate the total decrease per day:
3.33 gallons/hour * 24 hours = 79.92 gallons/day
Now, to find the total change in 6 days, we multiply the daily decrease by the number of days:
79.92 gallons/day * 6 days = 479.52 gallons
Rounding this to the nearest whole number, the total change in the amount of water in the tank after 6 days is 480 gallons.
Therefore, the correct answer is 480 gallons.
To find the total change in the amount of water in the tank after 6 days, we need to calculate the change in water for each day and then add them up.
Given that the water tank decreases by 10 gallons every 3 hours, we can find the decrease per hour by dividing 10 gallons by 3 hours: 10 gallons / 3 hours = 3.33 gallons per hour.
Since each day has 24 hours, we can multiply the decrease per hour by 24 to get the decrease per day: 3.33 gallons/hour * 24 hours = 80 gallons/day.
Now, we can calculate the total change over 6 days by multiplying the decrease per day by the number of days: 80 gallons/day * 6 days = 480 gallons.
Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.